What is the 1841st prime number?
The 1841st prime number is 15787. The next prime is 15791 (a gap of 4) and the one before is 15773.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1841st one is 15787.
- 2
15787 is prime because no prime up to ā15787 ā 125.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1841st prime is close to 1841 Ć ln(1841) ā 13841, and here it is 15787.
- 4
15787 has no twin: neither 15785 nor 15789 is prime.
Primes around the 1841st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1838 | 15761 | 12 |
| 1839 | 15767 | 6 |
| 1840 | 15773 | 6 |
| 1841 | 15787 | 14 |
| 1842 | 15791 | 4 |
| 1843 | 15797 | 6 |
| 1844 | 15803 | 6 |
Questions
What is the 1841st prime number?
15787.
Which prime number is 15787?
15787 is the 1841st prime number.
What is the sum of the first 1841 primes?
13,635,878.